A3

Glossary

Bayes’ formula:

Rule for the calculation of probabilities of hypotheses conditional on observed events.

Bayesian inference:

Statistical inference method where all unknown quantities are modeled by stochastic quantities.

Bayes’ theorem:

Rule for the calculation of probability densities of continuous parameters in stochastic models conditional on observed data of continuous variables.

Characterizing function:

Mathematical description of a fuzzy number.

Complete sample:

If n copies of a stochastic quantity are observed and all n observations are obtained then the sample is called complete.

Fuzzy Bayesian inference:

The generalization of Bayesian inference to the situation of fuzzy a priori information and fuzzy data.

Fuzzy combined sample:

Combination of a sample of fuzzy numbers to form a fuzzy element of the sample space.

Fuzzy confidence region:

Generalization of the concept of confidence region for the situation of fuzzy data.

Fuzzy data:

Data which are not precise numbers or classical vectors.

Fuzzy estimate:

Generalized statistical estimation technique for the situation of fuzzy data.

Fuzzy histogram:

A generalized histogram based on fuzzy data.

Fuzzy HPD-regions:

Generalization of highest probability density regions for parameters in Bayesian inference.

Fuzzy information:

Information which is not given in the form of precise numbers, precise vectors, precise functions or precisely defined models.

Fuzzy number:

Mathematical description of a fuzzy one-dimensional ...